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Scale 2543: "Dydygic"

Scale 2543: Dydygic, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Zeitler
Dydygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,5,6,7,8,11}
Forte Number9-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3827
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 991
Deep Scaleno
Interval Vector766674
Interval Spectrump7m6n6s6d7t4
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation1.778
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2543 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3319
Scale 3319: Tholygic, Ian Ring Music TheoryTholygic
3rd mode:
Scale 3707
Scale 3707: Rynygic, Ian Ring Music TheoryRynygic
4th mode:
Scale 3901
Scale 3901: Bycrygic, Ian Ring Music TheoryBycrygic
5th mode:
Scale 1999
Scale 1999: Zacrygic, Ian Ring Music TheoryZacrygic
6th mode:
Scale 3047
Scale 3047: Panygic, Ian Ring Music TheoryPanygic
7th mode:
Scale 3571
Scale 3571: Dyrygic, Ian Ring Music TheoryDyrygic
8th mode:
Scale 3833
Scale 3833: Dycrygic, Ian Ring Music TheoryDycrygic
9th mode:
Scale 991
Scale 991: Aeolygic, Ian Ring Music TheoryAeolygicThis is the prime mode

Prime

The prime form of this scale is Scale 991

Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic

Complement

The nonatonic modal family [2543, 3319, 3707, 3901, 1999, 3047, 3571, 3833, 991] (Forte: 9-5) is the complement of the tritonic modal family [67, 193, 2081] (Forte: 3-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2543 is 3827

Scale 3827Scale 3827: Bodygic, Ian Ring Music TheoryBodygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2543 is chiral, and its enantiomorph is scale 3827

Scale 3827Scale 3827: Bodygic, Ian Ring Music TheoryBodygic

Transformations:

T0 2543  T0I 3827
T1 991  T1I 3559
T2 1982  T2I 3023
T3 3964  T3I 1951
T4 3833  T4I 3902
T5 3571  T5I 3709
T6 3047  T6I 3323
T7 1999  T7I 2551
T8 3998  T8I 1007
T9 3901  T9I 2014
T10 3707  T10I 4028
T11 3319  T11I 3961

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 2541Scale 2541: Algerian, Ian Ring Music TheoryAlgerian
Scale 2539Scale 2539: Half-Diminished Bebop, Ian Ring Music TheoryHalf-Diminished Bebop
Scale 2535Scale 2535: Messiaen Mode 4, Ian Ring Music TheoryMessiaen Mode 4
Scale 2551Scale 2551: Thocrygic, Ian Ring Music TheoryThocrygic
Scale 2559Scale 2559: Zogyllian, Ian Ring Music TheoryZogyllian
Scale 2511Scale 2511: Aeroptyllic, Ian Ring Music TheoryAeroptyllic
Scale 2527Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
Scale 2479Scale 2479: Harmonic and Neapolitan Minor Mixed, Ian Ring Music TheoryHarmonic and Neapolitan Minor Mixed
Scale 2415Scale 2415: Lothyllic, Ian Ring Music TheoryLothyllic
Scale 2287Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic
Scale 2799Scale 2799: Lyryllian, Ian Ring Music TheoryLyryllian
Scale 3055Scale 3055: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7
Scale 3567Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian
Scale 495Scale 495: Bocryllic, Ian Ring Music TheoryBocryllic
Scale 1519Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian Mixed

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.